Stress Field of Semi-Infinite Interface Crack Tip of Double Dissimilar Orthotropic Composite Materials

2010 ◽  
Vol 97-101 ◽  
pp. 1223-1226
Author(s):  
Jun Lin Li ◽  
Shao Qin Zhang
Keyword(s):  
Composite Material ◽  
Composite Materials ◽  
Interface Crack ◽  
Interfacial Crack ◽  
Crack Tip ◽  
Stress Fields ◽  
Displacement Fields ◽  
Orthotropic Composite ◽  
Stress Functions ◽  
Secular Equations

The problem of orthotropic composite materials semi-infinite interfacial crack was studied, by constructing new stress functions and employing the method of composite material complex. In the case that the secular equations’ discriminates the and theoretical solutions to the stress fields and the displacement fields near semi-infinite interface crack tip without oscillation and inter-embedding between the interfaces of the crack are obtained, a comparison with finite element example was done to verify the correction of theoretical solution.

Fracture Analysis of Semi-Infinite Interface Crack between Two Dissimilar Orthotropic Composite Materials

2009 ◽  
Vol 417-418 ◽  
pp. 429-432
Author(s):  
Jun Lin Li ◽  
Shao Qin Zhang
Keyword(s):  
Composite Materials ◽  
Interface Crack ◽  
Interfacial Crack ◽  
Fracture Analysis ◽  
Stress Fields ◽  
Orthotropic Composite ◽  
Complex Functions ◽  
Stress Functions ◽  
Secular Equations ◽  
Material Fracture

The problem of orthotropic bi-materials semi-infinite interfacial crack was studied, by constructing new stress functions and using composite complex functions methods of material fracture on plane. It overcame oscillation singularity of stress and existing theoretical solution. When secular equations’ discriminations are and , the theoretical solutions to the stress fields and the displacements fields of semi-infinite interface crack between two dissimilar orthotropic composite materials near the crack tip are obtained.

Stress Fields near Mode II Interface Crack Tip of Two Dissimilar Orthotropic Composite Materials

2008 ◽  
Vol 385-387 ◽  
pp. 585-588 ◽  
Author(s):  
Shao Qin Zhang ◽  
He Sheng Yao ◽  
Jun Lin Li
Keyword(s):  
Composite Materials ◽  
Stress Function ◽  
Function Method ◽  
Complex Function ◽  
Interfacial Crack ◽  
Stress Fields ◽  
Mode Ii ◽  
Displacement Fields ◽  
Secular Equations ◽  
Material Fracture

Orthotropic bi-materials interfacial crack was studied, by constructing new stress function and using composite complex function method of material fracture. When secular equations’ discriminant 1 0 < and 2 0 < , the theoretical solutions of stress fields without oscillation singularity and displacement fields without embedding of upper and lower sides are derived.

Crack-tip field on mode II interface crack of double dissimilar orthotropic composite materials

2009 ◽  
Vol 30 (12) ◽  
pp. 1489-1504 ◽  
Author(s):  
Xue-xia Zhang ◽  
Xiao-chao Cui ◽  
Wei-yang Yang ◽  
Jun-lin Li
Keyword(s):  
Composite Materials ◽  
Interface Crack ◽  
Crack Tip ◽  
Mode Ii ◽  
Crack Tip Field ◽  
Orthotropic Composite

Stress Singularities near Interface Crack Tip for Mode II of Orthotropic Bi-Material

2014 ◽  
Vol 1004-1005 ◽  
pp. 473-478
Author(s):  
Mu Yang Li ◽  
Jun Lin Li ◽  
Xiu Feng Xie
Keyword(s):  
Composite Material ◽  
Interface Crack ◽  
Crack Tip ◽  
Mode Ii ◽  
Stress Singularities ◽  
Intensity Factors ◽  
Complex Singularity ◽  
Singularity Exponents ◽  
Analytic Expressions ◽  
Stress Functions

Using the method of composite material complex and constructing new stress functions with complex singularity exponents, the problem of singularities near interface crack tip for mode II of orthotropic bi-material is studied. Boundary value problems of generalized bi-harmonic equations can be solved with the help of boundary conditions, then four kinds of stress singularities are deduced, respectively, such as the constant singularity at λ=-1/2, the non-constant singularity at λ=-1/2+ε , the constant oscillation singularity at λ=-1/2+iε, and non-constant oscillation singularity at λ=-1/2+c+iε. For each case, the analytic expressions for stress intensity factors near the central-penetrated interface crack tip for mode II of orthotropic bi-material are obtained.

Analytical Solutions for Crack-Tip Higher Order Stress Fields in Thermal Barrier Coating

2008 ◽  
Vol 47-50 ◽  
pp. 1023-1026
Author(s):  
Yao Dai ◽  
Chang Qing Sun ◽  
Sun Qi ◽  
Wei Tan
Keyword(s):  
Crack Tip ◽  
Higher Order ◽  
Functionally Graded ◽  
Stress Fields ◽  
Thermal Barrier ◽  
Barrier Coating ◽  
Graded Material ◽  
Stress Functions ◽  
Order Stress ◽  
Analytical Expressions

Analytical expressions for crack-tip higher order stress functions for a plane crack in a special functionally graded material (FGM), which has an variation of elastic modulus in 1 2 power form along the gradient direction, are obtained through an asymptotic analysis. The Poisson’s ratio of the FGM is assumed to be constant in the analysis. The higher order fields in the asymptotic expansion display the influence of non-homogeneity on the structure of crack-tip fields obviously. Furthermore, it can be seen from expressions of higher order stress fields that at least three terms must be considered in the case of FGMs in order to explicitly account for non-homogeneity effects on the crack- tip stress fields. These results provide the basis for fracture analysis and engineering applications of this FGM.

scholarly journals Oscillatory Singularity Behaviors Near Interface Crack Tip for Mode II of Orthotropic Bimaterial

2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
Xiaomei Yang ◽  
Weiyang Yang ◽  
Junlin Li ◽  
Xuexia Zhang
Keyword(s):  
Interface Crack ◽  
Linear Independence ◽  
Linear Equations ◽  
Crack Tip ◽  
Analytic Solutions ◽  
Mode Ii ◽  
Crack Tip Field ◽  
Fracture Behaviors ◽  
Stress Functions ◽  
Singularity Exponent

The fracture behaviors near the interface crack tip for mode II of orthotropic bimaterial are discussed. The oscillatory singularity fields are researched. The stress functions are chosen which contain twelve undetermined coefficients and an unknown singularity exponent. Based on the boundary conditions and linear independence, the system of twelve nonhomogeneous linear equations is derived. According to the condition for the system of nonhomogeneous linear equations which has a solution, the singularity exponent is determined. Total coefficients are found by means of successive elimination of the unknowns. The theoretical formulae of stress intensity factors and analytic solutions of stress field near the interface crack tip are obtained. The crack tip field is shown by figures.

Sign in / Sign up

Export Citation Format

Share Document